The trigonometric equation \[{{\sin }^{-1}}x=2{{\sin }^{-1}}a\] has a solution for

\[\left| a \right|\ge \frac{1}{\sqrt{2}}\]

The trigonometric equation \[{{\sin }^{-1}}x=2{{\sin }^{-1}}a\] has a

1.	The trigonometric equation \[{{\sin }^{-1}}x=2{{\sin }^{-1}}a\] has a solution for
A.	\[\frac{1}{2}<\left\| a \right\|<\frac{1}{\sqrt{2}}\]
B.	All real values of a
C.	\[\left\| a \right\|<1/2\]
D.	\[\left\| a \right\|\ge \frac{1}{\sqrt{2}}\]
Answer» D. \[\left\| a \right\|\ge \frac{1}{\sqrt{2}}\]

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The trigonometric equation \[{{\sin }^{-1}}x=2{{\sin }^{-1}}a\] has a solution for

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